Polynomial Cauchy functional equations:a report
Mortini, Raymond; Pflug, Peter; and Sasane, Amol
(2024)
Polynomial Cauchy functional equations:a report.
Elemente der Mathematik.
ISSN 1420-8962
(2024)
Polynomial Cauchy functional equations:a report.
Elemente der Mathematik.
ISSN 1420-8962
We study the functional equation f(x + y) − f(x) − f(y) ∈ R[x, y], determine under a natural additional condition all solutions and show that the only continuous solutions are polynomials.
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